solve the quadratic equation (2x-3)^2 = 6(3-2x)
Answers
Answer:
\(x=\frac{3\sqrt{2}-3 }{2}\)
\(x=-\frac{3\sqrt{2}-3 }{2}\)
Step-by-step explanation:
Open the brackets first:
\(4x^2+9=18-12x\)
Simplify:
\(4x^2+12x-9=0\)
It is determined that this can't be factored, so rewrite the equation so you can complete the square.
\(x^2+3x=\frac{9}{4}\)
Take the square of 1.5 and add it to both sides:
\(x^2 + 3x+ \frac{9}{4} =\frac{9}4} +\frac{9}{4}\)
Factor:
\((x+\frac{3}{2})^2=\frac{9}{2}\)
\(x+\frac{3}{2} = \frac{3\sqrt{2} }{2 }\)
or \(x+\frac{3}{2} =-\frac{3\sqrt{2} }{2}\)
So \(x=\frac{3\sqrt{2}-3 }{2}\)
or \(x=-\frac{3\sqrt{2}-3 }{2}\)
Related Questions
The sum of 5x and 2xis at least 14 as a inequality
Answers
Answer:
The sum of 5x and 2xis at least 14 as an inequality is: 5x +2x < 14
The product of x and y is less than 4 as an inequality is: x * y < 4
Step-by-step explanation:
5x-2x=<4
3x<4
3x/3<4/3
x=4/3
how do you study for a math test?
Answers
Answer:
Start on Day One. You should always be studying for the next exam.
Get a Good Night's Sleep.
Make a List of Important Concepts/Formulas.
Rework Homework Problems.
Rework Book/Notes Examples.
Look for Identifying Characteristics in Problems.
Take a Practice Exam.
Step-by-step explanation:
will mark if correct xo.
Answers
Answer: y=7.3
Y=-7/16
Step-by-step explanation:
function: f(0.6) = 2.5x + 5.8
solution: 7.3
2.5(0.6) = 1.5
1.5 + 5.8 = 7.3
function: f(1/4) = 3/4x - 5/8
solution: -7/16
3/4(1/4) = 3/16
3/16 - 5/8 = -7/16
Hunter assumed he would get 64 problems correct on his test, but he actually got 78 correct. What was his percent error? Round to the nearest percent
Answers
Answer:
=82%
Step-by-step explanation:
64:78*100=82%
What is the measurement of the longest line segment in a right rectangular prism that is 11.2 centimeters long, 6.6 centimeters wide, and 6 centimeters tall?
Answers
Answer:
Step-by-step explanation:
3.1313109
Answer: the answer should equal 3.131
Step-by-step explanation: as this is the measurement of the longest line in right rectangular prism.
Please got brainliest
Reese is selling lemonade at the parade. He gets to keep 50% of the money he collects. A large lemonade is $4.00 and a small lemonade is $3.00.
The expression represents 50% of the money he collects. 0.50(4l + 3s)
Use the Distributive Property to expand the expression.
The simplified expression is...... ?
Answers
Answer:
0.5 x 4 + 0.50 x 3
Step-by-step explanation:
Everthying in the parenthases is being multiplied by 0.5 or 0.50
Can someone help me please?
I provided 1 picture and i will be providing another one (the bottom half which is only 2 questions) on another question!
Answers
Answer:
i dont know
Step-by-step explanation:
Please answer the bottom question please (the cylinder question)! The first one has been answered already.
Answers
Answer:7,065
Step-by-step explanation: 50x75x3.14 then subtract 20x75x3.14
Look at the system of linear inequalities shown below.
{y<−52x+1y≥32x+2
Which of these represents the solution of the system?
Answers
Answer: If you look at the graphs very carefully, the answer you will attain is "B"
Step-by-step explanation:
2.35 divided by 12 and to the nearest whole number. please explain how you got your answer.
Answers
Answer:
0
Step-by-step explanation:
If you divide 2,35 by 12 you get 0.1958333333, which rounds to 0.
Answer:
0
Step-by-step explanation:
2.35 / 12 = 0.1958333...
2.35 = 47 / 20
47 / 20 ÷ 12 / 1
47 / 20 x 1 / 12 = 47 / 240
47 / 240 = 0.1958333....
0.1958333... rounded to the nearest whole number is ZERO. Because 1 is smaller than 4, which means that you would not round up.
What is the perimeter of the actual garden?
Answers
Answer:
62.5 cm
Step-by-step explanation:
8.5 × 2.5 = 21.25 cm
4 × 2.5 = 10 cm
(10 cm × 2) + (21.25 cm × 2) = 62.5
-Therefore, 62.5 cm as the perimeter is the correct answer.
8.5x2.5=21.5
(10x2)+(21.5x2)
20+43=63
If you toss a coin three times, what are the odds against getting exactly three heads?
A. 1:8
B. 8:1
C. 1:7
D. 7:1
Answers
Answer:1/8
Step-by-step explanation:
1st flip- 1/2
2nd flip- 1/4
3rd flip-1/8
Answer:
the user above me is correct
Step-by-step explanation:
divide the solution by half each time
.5/2=.25--->1 fourth
.25/2=.125--->1 eighth
The change in altitude of a bird after 2 __ 1 2 seconds was –41 __ 1 4 feet. What was the average change in altitude of the bird in feet per second?
Answers
Answer:
\(Average\ Change = -1\frac{7}{10} ft/s\)
Step-by-step explanation:
Given
\(Altitude\ Change = -4\frac{1}{4} \ ft\)
\(Time = 2\frac{1}{2}\ s\)
Required
Determine the average change
This is calculated as follows:
\(Average\ Change = \frac{Altitude\ Change}{Time}\)
This gives:
\(Average\ Change = \frac{-4\frac{1}{4}}{2\frac{1}{2}}\)
\(Average\ Change = -4\frac{1}{4}/2\frac{1}{2}\)
Convert to improper fractions
\(Average\ Change = -\frac{17}{4}/\frac{5}{2}\)
Convert to multiplication
\(Average\ Change = -\frac{17}{4}*\frac{2}{5}\)
\(Average\ Change = -\frac{17}{2}*\frac{1}{5}\)
\(Average\ Change = -\frac{17}{10}\)
\(Average\ Change = -1\frac{7}{10} ft/s\)
If you increase your bicycle speed by 5.1 miles per hour, the speed will be 18.8 miles per hour. What is your bicycle speed now?
Answers
Based on the line plot shown below, which amount of cheese was ordered once?
A line plot titled
A.
1
pound
B.
1
1/4
pounds
C.
1/2
pound
D.
1
1/2
pounds
Answers
Answer:
Please provide an image of the line plot so your question can be answered.
Option (D) 1 1/2 pounds
I got this question once in a quiz.
Find the slope of the line graphed below pls
Answers
Hope this help
Evaluate by removing the radical sign and negative indices wherever it occurs: z2
= .04
Answers
English is the predominant language spoken in Chile. Question 1 options: True False
whoever answers first gets the crown
Answers
Answer: The answer is false!
Step-by-step explanation: You may think its true but NO, its not true!
Answer: false
Step-by-step explanation:
the correct answer is a dialect of spanish, chilean spanish.
Could anybody explain simplifying fractions to me with an example?
Answers
search it up on or something
Please answer as fast as you can. I will pay you
Promise
Answers
Answer:
c all real values of x such that x=/ 7
Step-by-step explanation:
Someone help me with this ASAP!
Answers
Answer:
48.1 somewhere around 36 and 57
Step-by-step explanation:
Answer:
36-57
Step-by-step explanation:
18.50 x 2.6 = 48.10, which is between those two numbers
please answer quickly
Answers
Answer:
37.5
Step-by-step explanation:
cosФ = \(\frac{A}{H}\)
cos(33°35') = \(\frac{m}{45}\)
m = 45 × cos(33°35')
m = 37.5 (1d.p.)
Robert's school is due west of his house and due south of his friend Layla's house. The distance between the school and Layla's house is 3 kilometers and the straight-line distance between Robert's house and Layla's house is 5 kilometers. How far is Robert's house from school?
Answers
Answer:
The school is 3 km west of Robert's house.
Hope this helps.
2. Yunika downloaded four applications for $2.99 each to her cell phone. The remaining applications that Yunika purchased cost $1.99 each.If she downloaded x total applications, which of the following equations can be used to find how much Yunika spent on cell phone application downloads? 10 points A. y = 1.99(x - 4) + 11.96 B. y = 11.96(x - 4) + 1.99 C. y = 1.99x + 11.96 D. y = 11.96x + 1.99
Answers
Answer:
The answer is A. y = 1.99(x - 4) + 11.96
Step-by-step explanation:
The answer is correct because someone i know has taken the quiz and got it right.
The point (-10, 4) is on the graph of which of these functions?
A. y = -x^2 + 6
B. y = -1/10x - 3
C. y = x^2 + 14
D. y = -1/2x - 1
Answers
Answer:
D
Step-by-step explanation:
Just plug the numbers in so you get
A. 4=106
B. 4= -2
C. 4=114
D. 4=4
D is correct
Please elaborate
\(Simplify (2x-7)(x+3)-(-3x^{2} -4)\)
Answers
Answer:
\(5x^2 - x - 17\)
Step-by-step explanation:
Distribute the terms inside the first set of parentheses:
\((2x - 7)(x + 3) = 2x^2 + 6x - 7x - 21\)
Combine like terms:
\(= 2x^2 - x - 21\)
Simplify by adding the second part:
\(2x^2 - x - 21 - (-3x^2 - 4)\)
Subtracting a negative is the same as adding the positive equivalent:
\(= 2x^2 - x - 21 + 3x^2 + 4\)
Combine like terms:
\(= 5x^2 - x - 17\)
(2x-7)(x+3)-(-3x^[2] - 4)
====
5x^[2] -x -17
To begin simplifying this expression, we will foil the first half of it:
(2x-7)(x+3)
2x*x + 2x*3 - 7*x - 7*3
2x^[2] + 6x - 7x - 21
With this, we combine like terms:
2x^[2]-x-21
We now have
2x^[2]-x-21-(-3x^[2]-4)
We can now do the binomial distribution in the second half of the expression. Remember, the - sign in front of the parentheses means we are negating everything inside. In other words, we are multiplying -1 by everything inside the parentheses. Following this:
-(-3x^[2]-4) becomes
-1*-3x^[2] + -1*-4 = 3x^[2]+4
We have now simplified the first and second half of our expression, so we have:
2x^[2]-x-21+3x^[2]+4
And combining like terms we get
2x^[2]+3x^[2]-x-21+4 =
5x^[2] -x -17
We can use the quadratic expression to determine if the trinomial can be factored evenly, but it cannot so we have our final simplifed expression!
rewrite in simplest terms: −10(−2p+10)−4p
Answers
Answer:
16p-100
Step-by-step explanation:
All we have to do is evaluate this expression.
The first step is to distribute -10 among the numbers in the parenthesis:
20p-100
We got 20p-100 from first multiplying -10 to -2p, which the negatives would cancel out and get 20p, and -10 multiplied by 10, which gets you -100
The next step is to subtract the 4p from the entire expression:
20p-100-4p
Or, we can rearrange this expression to make it clearer: 20p-4p-100
=16p-100
Hope this helps :)
Maggie is using a D sized battery for her science project. The radius of the battery is
16.5mm and it is 56.3mm tall. What is the volume of the battery
Answers
Answer:
48,153.3 mm³
Step-by-step explanation:
the battery is a cylinder
Volume of a cylinder = πr²h = π(16.5)²(56.3) = 48,153.3 mm³
= π×16.52×56.3
= 15327.675π
= 48153.311176612 millimeters3
Hi! Can anyone please give me the sale prices step by step?
I am still not sure how to answer this one. I'm asking because my dad can get angry with my grades (F's and D's) and this is 7th grade if you ask :''D
Answers
Answer: 6
Simple Explanation:
To find 75% of 8, just multiply 8 by 0.75 (which is the same as 75%).
8 x 0.75 = 6
Using a proportion, how can we find 12% of 125? Please show your proportion set up and all work. HELP ME ASAPPPPPPPPP THE CORRECT ANWSER GETS A BRAINLIST I HAVE 3MINS SOMEONE PLEASE!!!!!
Answers
Answer: 15
Step-by-step explanation:
Write 12% as a fraction: 12/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have: 12/100 of 125.
12/100 × 125
If you are using a calculator, enter 12÷100×125 which will give you 15 as the answer.